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1.
Janet E. Dyment Helen L. Chick Christopher T. Walker Thomas P. N. Macqueen 《Journal of Adventure Education & Outdoor Learning》2018,18(4):303-322
This theoretical paper examines the concept of pedagogical content knowledge (PCK) and explores how it might contribute to conversations around quality teaching and learning in outdoor education. This paper begins by summarizing the historical and contemporary literature, including issues of definitions, curriculum, content, and pedagogy in outdoor education. We then review the concept of PCK, its history, and contributions to other subject areas, including mathematics. We present a framework for PCK from the field of mathematics education and propose a 'modified' PCK framework for outdoor education. We postulate that this framework might help articulate knowledge areas needed by a teacher of outdoor education, and how these differ from and are similar to those required in other subject areas. We conclude by exploring how the idea of PCK and the modified framework might add to existing understandings of what it means to provide high quality outdoor education teaching and learning experiences. 相似文献
2.
Thinking aloud together: A teacher’s semiotic mediation of a whole-class conversation about percents
How does classroom interaction support students’ apprenticeship into the ways of speaking, writing, and diagramming that constitute the practice of mathematics? We address this problem through an interpretative analysis of a whole-group conversation about alternative ways of solving a problem involving percent discounts that occurred in a sixth grade classroom. This research study draws upon Dewey’s theory of inquiry, Vygotsky’s cultural–historical psychology, Freudenthal’s realistic mathematics education, and Halliday’s systemic functional linguistics (SFL). From Freudenthal, we borrow the notions of mathematizing and guided reinvention—the former notion offers a view of mathematics as an activity of structuring subject matter and the latter one provides insights into the processes whereby mathematizing is learned and taught in the classroom. We glean from Dewey his view of reflective thinking as inquiry and the role that conversations may serve therein. We rely upon Vygotsky’s notions of a verbal thinking plane and a social phase of learning in order to reconsider the function of whole-class interaction in apprenticing students into mathematizing. Finally, SFL provides us with tools for explaining the choices of grammar and vocabulary students and teachers make as they realize meanings in whole-group conversations. Treating the selected whole-class conversation as a text, we focus our analysis on how this text came to mean what it did. Our central questions are as follows: What meanings were realized in the whole-class conversation by teacher and students and how were these meanings realized? How did the teacher’s lexico-grammatical choices guide the students’ choices? In addressing these questions, we advance an interpretation of the conversation as paradigmatic of students and teacher thinking aloud together about percents. 相似文献
3.
The paper addresses the apparent lack of impact of ‘history in mathematics education’ in mathematics education research in
general, and proposes new avenues for research. We identify two general scenarios of integrating history in mathematics education
that each gives rise to different problems. The first scenario occurs when history is used as a ‘tool’ for the learning and
teaching of mathematics, the second when history of mathematics as a ‘goal’ is pursued as an integral part of mathematics
education. We introduce a multiple-perspective approach to history, and suggest that research on history in mathematics education
follows one of two different avenues in dealing with these scenarios. The first is to focus on students’ development of mathematical
competencies when history is used a tool for the learning of curriculum-dictated mathematical in-issues. A framework for this
is described. Secondly, when using history as a goal it is argued that an anchoring of the meta-issues in the related in-issues
is essential, and a framework for this is given. Both frameworks are illustrated through empirical examples. 相似文献
4.
Perceptions of differences in the participation and achievement of girls and boys in school science and mathematics have given rise to considerable curriculum research and professional development. This research, and the practices arising from it, has aimed at increasing the participation of girls in ‘non‐traditional’ school subjects, with the ultimate goal of enhancing girls’ post‐school options. Mathematics and science have been seen as critical in this respect, particularly the higher levels of mathematics and the physical sciences. This research and professional development have contributed to our understanding of the issues and have no doubt affected the post‐school options of some girls. However, there is also dissatisfaction at the lack of significant change that has flowed from this work. A more critical analysis is now emerging, leading to a deeper questioning of the assumptions that underlie research and development in the field. Ironically, at the same time there are reports that funding for research into aspects of gender issues is now taking an even lower profile than in recent years (Tisdall 1992). This paper has emerged from debates relating to gender issues from the perspective of two teachers, one of science and the other of mathematics. The debates were precipitated by a move from work as school teachers to work in higher education, where there is an explicitly stated responsibility for research as well as teaching. The change in our labour served to highlight personal questions about the legitimation of different accounts of education in research, science and mathematics education and gender issues. It was in the process of grappling with the apparent plethora of research methods that we began to look at the epistemological assumptions of research into gender issues in science and mathematics education. For us then, there are three major interrelated and overlapping areas of concern. One is related to the epistemological assumptions that pervade science and mathematics in schools. The second also concerns epistemological assumptions, those relating to educational research, particularly into gender issues. The third raises the ontological question of the conceptualization of gender within the research. We needed a conceptual framework to enable us to critique the normalization of the debates and uncover the problematics within each of these three concerns. At the same time, the framework had to allow an examination of the interrelatedness and continuities between them. It was the normalization and apparent consensus surrounding these issues that was disturbing for us. This we recognized as a depoliticization of social institutions which are essentially political. It was against this background, and in acknowledgement of some feminist critiques (Fraser 1989), that we use a framework developed by Habermas (1972), which recognizes the political dynamic of epistemological positions, and allows us to make explicit the politics of educational research. Our starting point, in this paper, is Habermas's work. We outline the three ‘knowledge‐constitutive’ interests of this schema, and describe their implications for education. We then explore the dominant perspective within science and mathematics education. Having described this context, we examine the gender research with particular attention to the conceptualization of gender. With reference to Habermas's framework the epistemological and ontological assumptions of this research are explored, and the possibilities and limitations are discussed. This is used to examine the epistemological basis of different research methodologies. We contend that there is a relationship between the scientific paradigm, the organization of education and the framing of research. Further this relationship has constituted the field of research about gender and science and mathematics and limited its potential for explanation. 相似文献
5.
In this study discourse and conversation analyses were performed on talk by science and mathematics teaching faculty participating in reforming content courses for teacher candidates participating in a mathematics and science teacher preparation project (upper elementary and middle level). The context of the study was the Maryland Collaborative for Teacher Preparation (MCTP), a National Science Foundation funded project in the USA. The study's goal was to explore the use of discourse and conversation analyses as ways to understand faculty beliefs concerning mathematics and science, two disciplines the MCTP project aimed to connect. Discussion focused on two areas: (1) the comparison of the discourse on science and mathematics by the science, mathematics, and pedagogy content specialists, and (2) the impact of collaboration on the science and mathematics teaching faculty's conversation on science and mathematics. An implication of this study is to promote the analysis of talk as way to inform and direct faculty transformation in science and mathematics teacher education programs. Future research is recommended. 相似文献
6.
在幼儿师范学校,数学是一门重要的文化课程,研究分析幼师女生数学学习情况显得十分重要.从问卷调查并结合观察法和谈话法了解到,幼师女生大多数对数学有一定的兴趣,但数学感知能力差,数学概括能力、抽象能力、空间想象能力不强,数学推理能力、联想能力、思维转换能力薄弱.为了提高幼师数学素质教育的水平,可以从知识传授、能力培养、德育渗透三方面设计教育教学策略. 相似文献
7.
We identify a recent trend in school mathematics as well as in some of the research literature in mathematics education: an emphasis on the practical uses of mathematics and an increased emphasis on verbalizations as opposed to numerical and computational skills. With tools provided by John Dewey, an early advocate of contextual and practical knowledge, we analyse the common research framework for discussing mathematical knowledge in terms of the procedural and the conceptual. We argue that procedural and conceptual knowledge should not be seen as opposites, and that the tendency to treat them as such might be avoided by emphasising the notion of operational skill. We argue that this is important in order for the students to gain both the contextual knowledge and the computational skill entailed in mathematical knowledge. 相似文献
8.
Martin A. Simon 《Educational Studies in Mathematics》1994,26(1):71-94
The reconceptualization of mathematics teacher education based on current mathematics education reform efforts necessitates the elaboration of theoretical frameworks to guide both the practice of and research on teacher education. The author presents a framework which has been useful in shaping two major mathematics teacher education research and development projects. This framework for mathematics teacher learning builds recursively on a framework for mathematics learning which derives from a social constructivist view of learning and incorporates aspects of French didactical theory using the organizing structure of the Karplus Learning Cycle. The framework can be used to think about the content and organization of a particular lesson or of an entire course or program for teachers. Further, it describes the interconnection between different domains of teacher knowledge. 相似文献
9.
Research in mathematics education usually attempts to look into students’ learning and other mental processes. It could therefore
be expected to build on knowledge acquired within the academic discipline of cognitive psychology. Our aim in this paper is
to show how some recent developments in cognitive psychology can help interpret empirical results from mathematics education.
In particular, we will be looking into the heuristics-and-biases research by Kahneman and Tversky, the alternative views by
Gigerenzer et al., and the more recent dual-process theory that has come to play a central role in interpreting this research.
We first introduce the relevant background from cognitive psychology and survey its connections to previous work in mathematics
education; then we apply this theoretical framework for re-interpreting previously-published empirical data from mathematics
education research. We conclude with a discussion of potential theoretical and practical benefits of such synthesis. 相似文献
10.
What is the place of social theory in mathematics education research, and what is it for? This special issue of Educational Studies in Mathematics offers insights on what could be the role of some sociological theories in a field that has historically privileged learning theories coming from psychology and mathematics as the main theoretical frames informing research. Although during the last 10 years the term “socio-cultural” has become part of the accepted and widespread trends of mathematics education research when addressing learning, this issue gathers a collection of papers that depart from a “socio-cultural” approach to learning and rather deploy sociological theories in the analysis of mathematics education practices. In this commentary paper, we will point to what we see to be the contributions of these papers to the field. We will do so by highlighting issues that run through the six papers. We will try to synthetize what we think are the benchmarks of the social approach to mathematics education that they propose. We will also take a critical stance and indicate some possible extensions of the use of social theory that are not addressed in this special issue but nonetheless are worth being explored for a fuller understanding of the “social” in mathematics education. 相似文献
11.
《International Journal of Educational Development》1998,18(4):337-346
There is a need to move beyond the use of predetermined categories to classify teachers' orientations and an attempt should be made to understand, from the teachers' perspectives, their orientations and the beliefs from which they are generated. Such an understanding may help in the development of mathematics teacher education programmes that will assist teachers to formulate appropriate attitudes toward mathematics. This paper provides an in-depth study of one pre-service elementary teacher's views about mathematics and mathematics teaching. Dudu is a `case' that fits in with the emergent themes identified in the larger sample. Data for the study were collected by means of audio tape, an observational framework, field notes, student's written work and unstructured and formal interviews. The themes that emerged and that were emphasised by the participant were: limited vision for mathematics, construction of meaning in mathematics, knowledge of mathematics content and poor self-perception of pre-service primary mathematics teachers. The findings also suggest that although the participant reported uneasiness in learning mathematics, she was very enthusiastic about her teaching practice. 相似文献
12.
This paper reports a survey of research in mathematics teacher education from 1999 to 2003 done by an international team of
five mathematics educators and researchers. The survey included published research in international mathematics education
journals, international handbooks of mathematics education and international mathematics education conference proceedings.
Some regional sources from various parts of the world were also included. We investigated who was writing, from and in what
settings, with what theoretical frameworks, and with what sorts of study designs for what core questions. We also examined
the range of findings and conclusions produced in these studies. Our analysis presented here focuses on four themes that stood
out from our initial investigation of almost 300 published papers, and systematically elaborated through a focused study of
a 160 papers across key journals and conference proceedings in the field. From this vantage point, the paper offers a reflection
on the current state of the field of mathematics teacher education research. Our aim is to stimulate discussion that can support
the development of the field, not make final pronouncements about its nature.
The research presented in this paper was done by five mathematics education researchers, the authors listed above, and presented
at ICME10 in Copenhagen in July 2004. This Survey Team (Survey Team 3) was nominated by the International Program Committee
for the Congress and asked to survey “Professional Development of Mathematics Teachers” and present this in a plenary at the
Congress. A copy of the presentation can be viewed at: http://www.wits.ac.za/jadler/presentations.html. An earlier version
of this paper will also appear in the ICME10 proceedings. 相似文献
13.
In recent years the mathematics education research community has undergone a social turn towards a greater interest in the values and broader educational purposes of mathematics education, including issues of social justice and citizenship education. Building on these developing interests, this paper presents a conceptual framework that links the teaching of school mathematics with moral education. Then, in a case study involving two countries, England and Canada, this framework is used to explore the affordances and constraints faced by mathematics teachers in those countries if they want to intentionally practice moral education in the classroom. 相似文献
14.
15.
There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the history of mathematics by combining the objectives of high school mathematics curriculum in China. This framework includes six dimensions: the harmony of knowledge, the beauty of ideas or methods, the pleasure of inquiries, the improvement of capabilities, the charm of cultures, and the availability of moral education. The results show that this framework better explained the all-educational values of the history of mathematics that all teaching cases showed. Therefore, the framework can guide teachers to better integrate the history of mathematics into teaching. 相似文献
16.
The organization of the mathematics preparation and development of teachers: a report from the ICMI Study 15 总被引：1，自引：0，他引：1
Maria Teresa Tatto Stephen Lerman Jarmila Novotna 《Journal of Mathematics Teacher Education》2010,13(4):313-324
This article presents the results of an investigation carried out across 20+ country-regions under the auspices of ICMI Study
15 into the structures, approaches and general characteristics of the mathematics preparation and development of teachers.
We use a global framework provided by the larger research literature on teacher education to contextualize the findings. The
article provides an analytic perspective on (a) teacher education systems’ characteristics including institutional arrangements
and regulations; (b) teacher’s recruitment, selection, and credentials; (c) teacher education programs’ structure and approaches;
(d) teacher educators’ characteristics; and (e) the structure and content of the curriculum. This article highlights the important
differences and similarities across systems that provide mathematics education and development to teachers. This article concludes
with a discussion on implications for future empirical research on mathematics teacher education. 相似文献
17.
While teaching, teachers need to access both their knowledge of mathematics and knowledge of pedagogy. Practice-based materials
afford teachers opportunities to reason about both mathematics and pedagogy within the context of teaching. Accepted systems
exist for explaining and reasoning in the domain of mathematics; logic, procedures, and representations all serve as instances
of mathematics that bear common meaning in the domain. In contrast, there is not an accepted well-structured system for reasoning
within the domain of pedagogy; rather, it is an inherently interpretive act. This paper explores differences in knowledge
bases and reasoning by examining discourse about mathematics and pedagogy in a practice-based teacher education course. Mathematics
conversations featured greater depth of conversation, more challenges, and more echoes of previous claims. Pedagogical conversations
were denser and featured more qualified statements and more evidence from personal values or opinions. Implications for the
design of teacher education and professional development experiences are presented. 相似文献
18.
王玥 《大连教育学院学报》2003,19(4):64-67
对《关于数学是什么的对话》进行评注 ,分析数学研究的对象是否客观存在、数学概念形成的依据、数学逻辑的作用以及数学是发明还是发现等与数学教育密切相关的问题。 相似文献
19.
In this article we give a survey of recent literature on the use and value of the history of geometry in mathematics education. It turns out that many authors have contributed to the debate why we should apply history. Their arguments can be divided into conceptual, (multi-) cultural and motivational ones. The number of authors who concentrated on the methodological question “How could we introduce history into mathematics lessons?” is considerably smaller. Those who want to make history an integral part of mathematics education have to bridge the gap between theoretical arguments and practical ideas, and, connected with this,between historians and teachers, and ultimately between mathematicians from the past and present day students. We divided the various surveyed publications, mainly journal articles, into categories according to a framework in order to clarify the discussion on the role of the history of geometry in education. Details about content and purpose of the articles are presented in two appendices, which make the articles more accessible both for further research and for practical teacher purposes. 相似文献
20.
建构意义下的计算机辅助数学教学可以从三个方面入手：1．创设问题情景，激发求知欲望；2．加强协作会话，实现意义建构；3．发挥微机优势，实施素质教育。 相似文献